Download progression in division

Kemble Primary Levelled approach to calculation in Division (inc. related mult levels)
FS
and
L1
Relate multiplication
and division to
practical experiences
Practical / recorded using ICT
(eg digital photos / pictures on
IWB)
Pictures / Objects
Rapid recall and mental calculation
6 cakes shared between 2
Halves of even
numbers up to
20
6 cakes shared between 2
6 cakes put into groups of 2
6 cakes put into groups of 2
L2
L3
2c. Learn 2x and 5x table
Recognise key words associated with multiplication
Continue to use multiplication and division in practical
situation
2b. Quickly recall 2x 5x 10x tables and know related division
facts
Start to learn 3x 4x tables
Recognise that multiplication is repeated addition
Begin to understand division as grouping
Understand that halving is the inverse of doubling
2a.Learn and recall 3x 4x tables and related division facts
Multiply TU by U (up to 5 )
Begin to know the key words associated with multiplication
and use them in problem solving
Know that to find a quarter of a number it must be divided or
shared by 4 and demonstrate on a number line
Practical /
recorded
using
ICT
3c. Learn 4x 6x tables and associated division facts
Cement understanding that division is sharing and like repeated subtraction
and be able to show this on a number line.
Divide TU by U
Recognise the key words associated with multiplication and division when
solving problems
Use mental calculation skills and approximate
3b. Learn and recall 4x 6x 7x8x9x tables and division facts
Work out appropriate methods to help with division and know that they
often have remainders
Estimate the answer to check
Know the key words associated with multiplication and division
3a. Demonstrate secure knowledge of all x tables and apply them
Recognise the relationship between multiplication and division and how it
can be used
Divide TU by U then HTU by U
Check answers
Begin to understand what happens when we multiply by 10 and 100
Pictures / Symbols
15  5
0
Four eggs fit in a box. How many boxes would you need to pack 20
eggs?
Also:
25 ÷ 5 = 5
Number lines (start from zero)
96  6 = 16
10 x 6
Know and use
mult and div
facts for
2,5,10
Number lines / Arrays
How many apples in each bowl if I share 12 apples between 3
bowls?
5
10
Leading to…
Partitioning
28  2
20  2 = 10
82= 4
76 ÷ 6 = 12r4
10 X 6 = 60
2 X 6 = 12
72
Halves and
doubles of
even numbers
up to 20 and
beyond.
(with 2x,5x,10x)
Partitioning with multiples of the
divisor
6x6
15
All tables and
division facts
by 3b. (start
with
2,3,4,5,6,10)
Halves and
doubles to 100
Multiply simple
whole numbers
by 10/100
L4
L5
4c. Understand what happens when we multiply and divide by 10 and 100 and apply a
quick method
Know all x tables and division facts
Begin to develop an efficient method for HTU divided by TU
Approximate answers first and use X and division skills in problem solving
4b. Continue to develop and refine long multiplication and division skills
Use approximation to check answers
Solve problems using a calculator
Multiply and divide decimals by 10 and 100 and whole numbers by 10,100, 1000
Use multiplication and division to solve multi- step problems
4a. Carry out HTU x TU and HTU divided by TU with consistent accuracy
Multiply and divide to 1 decimal place
Use the inverse to check answers
Use multiplication and division skills to solve word problems in real life
Use a calculator to solve problems
Multiply and divide whole numbers and decimals quickly by 10,100 and 1000
‘Short’ division
5c. Carry out long division and multiplication with consistent accuracy
Multiply a decimal number with up to 2 decimal places by a single digit
Divide a number with up to 2 decimal places by a single digit
Use multiplication and division to solve multi step word problems involving money
including conversions to and from foreign currency and %
Use calculator to solve problems
5b. Multiply a decimal number with up to 2 decimal places by 2 digit numbers
Refine written methods of long multiplication and division to ensure efficiency while
maintaining accuracy
Use multiplication and division to solve problems in a variety of contexts using
written methods and a calculator
Judge whether an answer is reasonable and check results
As Level 4
Multiply and divide
whole numbers and
numbers with 1
decimal place by
10/100/ 1000
Expanded short division
291  3 (estimate: 270  3 = 90)
1 9 r2
12
When divisor is a single digit
2 11
230
This uses a jotting
style to support but
still needs children
to access multiples
of 2 digit numbers
quite quickly.
12
24
36
48
60
72
84
96
108
It is likely that most children working at level 5 will have efficient formal
methods for single digit and an efficient informal method for two digit
divisors.
Relate tables and
division facts such
as 0.2 x 30 = …
Halves and doubles
of all numbers up
to 100 including
simple decimal
numbers.
Apply division to
other areas of
maths such as
fractions
Use division
naturally in a range
of situation i.e.
tables, division
facts and
associated facts,
FDP, factors etc